102120222012100 has 144 divisors (see below), whose sum is σ = 231527731276800. Its totient is φ = 39022771216000.

The previous prime is 102120222012059. The next prime is 102120222012161. The reversal of 102120222012100 is 1210222021201.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7592010375 + ... + 7592023825.

It is an arithmetic number, because the mean of its divisors is an integer number (1607831467200).

Almost surely, 2^{102120222012100} is an apocalyptic number.

102120222012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102120222012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115763865638400).

102120222012100 is an abundant number, since it is smaller than the sum of its proper divisors (129407509264700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102120222012100 is a wasteful number, since it uses less digits than its factorization.

102120222012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17410 (or 17403 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102120222012100 its reverse (1210222021201), we get a palindrome (103330444033301).

The spelling of 102120222012100 in words is "one hundred two trillion, one hundred twenty billion, two hundred twenty-two million, twelve thousand, one hundred".